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Finding the Fourth Proportional to 7,761.38, 10,710.70 and 4,224.61

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Solution

The fourth proportional to 7,761.38, 10,710.70 and 4,224.61 is: 5,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.38 : 10,710.70 = 4,224.61 : x
  2. Step 2: Convert to fraction form
    7,761.38/10,710.70 = 4,224.61/x
  3. Step 3: Cross multiply
    7,761.38x = 10,710.70 × 4,224.61
  4. Step 4: Simplify right side
    7,761.38x = 45,248,533.15
  5. Step 5: Solve for x
    x = 45,248,533.15/7,761.38
  6. Step 6: Final answer
    x = 5,829.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.